Construction of concrete orthonormal basis for (L^2,Γ,χ)-theta functions associated to discrete subgroups of rank one in (C,+)

Allal Ghanmi, Ahmed Intissar

Let χbe a character on a discrete subgroup Γof rank one of the additive group (C,+). We construct a complete orthonormal basis of the Hilbert space of (L^2,Γ,χ)-theta functions. Fu…